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Finding the Third Proportional to 35,771 and 77,784

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Solution

The third proportional to 35,771 and 77,784 is: 169,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,771 : 77,784 = 77,784 : x
  2. Step 2: Convert to fraction form
    35,771/77,784 = 77,784/x
  3. Step 3: Cross multiply
    35,771x = 77,784 × 77,784
  4. Step 4: Simplify right side
    35,771x = 6,050,350,656
  5. Step 5: Solve for x
    x = 6,050,350,656/35,771
  6. Step 6: Final answer
    x = 169,141.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.